Pressure-induced disappearance of superconductivity across isostructural transition in underdoped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta }$

There exist rich phenomena in the underdoped regime of cuprate superconductors. An underdoped Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ single crystal is chosen to investigate the pressure-driven evolution of the superconducting behavior and structural properties by electrical resistance and synchrotron X-ray diffraction measurements. We find that an isostructural phase transition starts at 16.0 GPa and a structural collapse occurs at around 23.7 GPa. Meanwhile, superconductivity is observed to disappear and superconductor-insulator transition takes place across the phase transition. These results suggest that the Fermi surface topology could undertake some modification at high pressures.